Answers:
- Translation 3 units up
- k = 3
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Explanation:
The y intercept of the black f(x) curve is at (0,1)
The y intercept of the blue curve is at (0,4)
To go from y = 1 to y = 4, we add 3
So we shift 3 units up to go from the f(x) curve to the g(x) curve.
The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.
The common factor in both terms is 10<span />
Answer:
15
Step-by-step explanation:
For these kind of problems, its best to use a Venn Diagram.
Lets break down the information:
<em>There are 50 students total.</em>
<em>25 take Math competiton classes.</em>
<em>29 take Geometry</em>
<em>12 take history and </em><em><u>no math classes</u></em>
<em>19 take </em><em><u>both math classes</u></em>
Now, make a Venn Diagram.
[Look at the photo attached. Also, the blank spaces in the Venn Diagram are ones that no student takes.]
The 12 taking history and no math classes and 3 kids not taking any of those classes look like they're the only ones not taking either math class.
12 + 3 = 15.
So the answer is 15.
[I'm not sure if this is correct or if I made a mistake so please let me know! Thank you! I hope this helps!]
:)
Explanatory research is research conducted in order to explain any behaviour
$45+$18+$26-$21-$93
45+18=63
63+18=81
81+26=107
107-21=86
86-93=-7